A well-balanced scheme for the shallow-water equations with topography V Michel-Dansac, C Berthon, S Clain, F Foucher Computers & Mathematics with Applications 72 (3), 568-593, 2016 | 96 | 2016 |
A well-balanced scheme for the shallow-water equations with topography or Manning friction V Michel-Dansac, C Berthon, S Clain, F Foucher Journal of Computational Physics 335, 115-154, 2017 | 74 | 2017 |
Second-order implicit-explicit total variation diminishing schemes for the Euler system in the low Mach regime G Dimarco, R Loubère, V Michel-Dansac, MH Vignal Journal of Computational Physics 372, 178-201, 2018 | 50 | 2018 |
TVD-MOOD schemes based on implicit-explicit time integration V Michel-Dansac, A Thomann Applied Mathematics and Computation 433, 127397, 2022 | 19* | 2022 |
A simple fully well-balanced and entropy preserving scheme for the shallow-water equations C Berthon, V Michel-Dansac Applied Mathematics Letters 86, 284-290, 2018 | 12 | 2018 |
A very easy high-order well-balanced reconstruction for hyperbolic systems with source terms C Berthon, S Bulteau, F Foucher, M M'Baye, V Michel-Dansac SIAM Journal on Scientific Computing 44 (4), A2506-A2535, 2022 | 11 | 2022 |
A two-dimensional high-order well-balanced scheme for the shallow water equations with topography and Manning friction V Michel-Dansac, C Berthon, S Clain, F Foucher Computers & Fluids 230, 105152, 2021 | 10 | 2021 |
Consistent section-averaged shallow water equations with bottom friction V Michel-Dansac, P Noble, JP Vila European Journal of Mechanics-B/Fluids 86, 123-149, 2021 | 9 | 2021 |
Approximately well-balanced Discontinuous Galerkin methods using bases enriched with Physics-Informed Neural Networks E Franck, V Michel-Dansac, L Navoret Journal of Computational Physics, 113144, 2024 | 6 | 2024 |
On high-precision L∞-stable IMEX schemes for scalar hyperbolic multi-scale equations V Michel-Dansac, A Thomann Recent Advances in Numerical Methods for Hyperbolic PDE Systems: NumHyp 2019, 79, 2019 | 6* | 2019 |
Development of high-order well-balanced schemes for geophysical flows V Michel-Dansac Université de Nantes, Faculté des sciences et des techniques., 2016 | 6 | 2016 |
Unconditionally stable and parallel Discontinuous Galerkin solver P Gerhard, P Helluy, V Michel-Dansac Computers & Mathematics with Applications 112, 116-137, 2022 | 5 | 2022 |
A conservative well-balanced hybrid SPH scheme for the shallow-water model C Berthon, M De Leffe, V Michel-Dansac Finite Volumes for Complex Applications VII-Elliptic, Parabolic and …, 2014 | 5 | 2014 |
A high-order, fully well-balanced, unconditionally positivity-preserving finite volume framework for flood simulations M Ciallella, L Micalizzi, V Michel-Dansac, P Öffner, D Torlo arXiv preprint arXiv:2402.12248, 2024 | 4 | 2024 |
Accelerating the convergence of Newton’s method for nonlinear elliptic PDEs using Fourier neural operators J Aghili, E Franck, R Hild, V Michel-Dansac, V Vigon Communications in Nonlinear Science and Numerical Simulation 140, 108434, 2025 | 2 | 2025 |
A second-order well-balanced scheme for the shallow water equations with topography C Berthon, R Loubère, V Michel-Dansac Theory, Numerics and Applications of Hyperbolic Problems I: Aachen, Germany …, 2018 | 2 | 2018 |
An entropy-stable and fully well-balanced scheme for the Euler equations with gravity C Berthon, V Michel-Dansac, A Thomann | 1 | 2024 |
Parallel kinetic schemes for conservation laws, with large time steps P Gerhard, P Helluy, V Michel-Dansac, B Weber Journal of Scientific Computing 99 (1), 5, 2024 | 1 | 2024 |
A fully well-balanced hydrodynamic reconstruction C Berthon, V Michel-Dansac Journal of Numerical Mathematics, 2024 | 1 | 2024 |
Structural schemes for Hamiltonian systems S Clain, E Franck, V Michel-Dansac | | 2025 |